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**Unformatted text preview: **A :1 " Name: " " SHOW YOUR WORK IF YOU WANT CREDIT
Here. is some info: 1 inch = 2.540 cm; 12 inch = 1 foot; 1 mile = 5280 ft; 100 em = 1 meter; 1 slug = 14.59 kilograms; 2n radians = 360° = 1 rev; 1 Calorie = 4200 Joules = 3100 ft-lbs; radius of earth = 6.4)(106 In;
mass of earth = 6x1024 kg; mass of the sun = 2x1030 kg; G = 6.7):10'11 Nm2/kg2 ' ' After this test you might go eat a hamburger. The hamburger has an energy of 600 Calories of grease and
V. Coli bacteria (hmmmmrnl). 1f the energy contained in one hamburger could be used to lift you (yes, I mean
you) straight up into the air, then how high would you go? (note the Calorie info above) {600$th 95—29:} = 2.590.000 :5 / \ pg 7945 a WW
U ,2 570,0003:@ 2] A block of mass M slides down a frictionless inclined plane as shown at right.
The magnitude of the normal force on the block . . . A— m j
. (.05 a : /
equal to Mg N
i greater than Mg, always _ .. m '5
ay be greater than Mg N " {’05 9 18 less than Mg, always 3 same block is sliding along a horizontal circle (without friction)
ﬁrsi a cone. The magnitude of the normal force on the block . . . [/3 sequal-to—Mg
is greater than Mg, always M
may be greater than Mg (056 : _T,,3
is less than Mg, always
may be less than Mg w” his is a question about a Black Hole of mass M. From an enormous
‘ :.-4e distance in outer space you release a brick and let it fall towards the
Black Hole. At what distance from the Black Hole is the brick’s speed = c = speed of light? [This distance is known as the Schwarzschild Radius = R5] I fr M
i 5%
\RS
2M? Z 2
1M2 'L
j 2 + (9M\MZC
l 64 Blocks A and B have masses of 2 and 3 kg, respectively (they =,onnected by a massle over a massless and frictionless pulley).
Block B starts from remMﬁd of a spring shock
absorber. The spring compressesol m whe the blocks come to a momentary stop (as shown at far ngEU.
a) Clearly show that the spring constant is equal to about 40 N/m. "\ What is the acceleration of the blocks at the instant when the spring
Vcompressed 1 m? U 9 ’
U 2' m k 63’" 51"” 7“” /’——-,
WW 5 “15232 77.7 [Lia/r523.— TH
-t o .1 “So In E
5903 _~ §L§(a.?)(2;) 4/" a 19;,“ 4.1, u “Mé‘zaiez /
W . e MMW’
V maﬁa ...

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- Spring '06
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